is a discontinuity boundary.
Now, we recall the Filippov convex method ([1]}, [2]}). We can construct general solutions based on the standard solutions in regions \(x<0\)  and \(x>0\) 
and sliding solutions on \(\Sigma \) .
Let
\(\delta =((H_x,H_y),(y-F(x),-g(x))|_{x\rightarrow 0^-}\cdot ((H_x,H_y),(y-F(x),-g(x))|_{x\rightarrow 0^+}=y^2,\) 
